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Finding the Third Proportional to 156,804 and 235,559

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Solution

The third proportional to 156,804 and 235,559 is: 353,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,804 : 235,559 = 235,559 : x
  2. Step 2: Convert to fraction form
    156,804/235,559 = 235,559/x
  3. Step 3: Cross multiply
    156,804x = 235,559 × 235,559
  4. Step 4: Simplify right side
    156,804x = 55,488,042,481
  5. Step 5: Solve for x
    x = 55,488,042,481/156,804
  6. Step 6: Final answer
    x = 353,868.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.